In a county where factories have to be tested for the emission of pollutants, 32% of all factories emit excessive amounts of pollutants. When tested, 98% of all factories that emit excessive amount of pollutants will fail, but 21% of the cars that do not emit excessive amounts of pollutants will also fail. What is the probability that a car that fails the test actually emits excessive amounts of pollutants?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
In a county where factories have to be tested for the emission of pollutants, 32% of all factories emit excessive amounts of pollutants. When tested, 98% of all factories that emit excessive amount of pollutants will fail, but 21% of the cars that do not emit excessive amounts of pollutants will also fail. What is the probability that a car that fails the test actually emits excessive amounts of pollutants?
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